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» Quantum complexity theory
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STOC
2007
ACM
98views Algorithms» more  STOC 2007»
14 years 10 months ago
Negative weights make adversaries stronger
The quantum adversary method is one of the most successful techniques for proving lower bounds on quantum query complexity. It gives optimal lower bounds for many problems, has ap...
Peter Høyer, Troy Lee, Robert Spalek
COCO
2009
Springer
119views Algorithms» more  COCO 2009»
14 years 4 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
CORR
2008
Springer
70views Education» more  CORR 2008»
13 years 10 months ago
A Refined Difference Field Theory for Symbolic Summation
In this article we present a refined summation theory based on Karr's difference field approach. The resulting algorithms find sum representations with optimal nested depth. ...
Carsten Schneider
ISCI
2000
83views more  ISCI 2000»
13 years 10 months ago
Active agents, intelligence and quantum computing
This paper reviews evidence from neuroscience and quantum computing theory in support of the notion of autonomy in the workings of cognitive processes. De
Subhash C. Kak